Arithmetic Reasoning problems
- 1. Khushi bought the bangles of equal number of Rs. 34 per piece, Rs. 42 per piece and Rs. 6 per piece. She spends total Rs. 1722 on all types of bangles. How many bangles did she buy of each type ?
Options- A. 27
- B. 13
- C. 17
- D. 21 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 21
Explanation:
Let number of bangles kushi purchase of each type = x
From the given data,
34x + 42x + 6x = 1722
x = 1722/82 = 21.
- 2. Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards. Last year each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and the 5th gives 3 to each of the 2nd & d 4th, they would all exactly have the same number of apples, what were the yields per tree in the orchards of the 3rd & 4th farmers ?
Options- A. 17 & 9
- B. 9 & 11
- C. 9 & 9
- D. 11 & 9 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 11 & 9
Explanation:
Let the number of apples in each tree of the 5 farmers be a, b, c, d,e respectively. Therefore total no of apples are 7a, 9b, 11c, 13d and 14e respectively.
Given,
7a+1 = 9b+3 = 11c-1 = 13d+3 = 14e-6 = x
9b+3 = 13d+3
===> 9b = 13d
so take b = 13 and d = 9
9b+3 = 9*13+3 = 120
ie, x=120
substituting
7a+1 = 120
7a = 119
a = 17
11c-1 = 120
11c = 121
c=11
14e-6 = 120
14e = 126
e = 9
Yields per tree in the orchards of d 3rd & 4th farmers= 11,9
- 3. In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?
Options- A. 1
- B. 2
- C. 3
- D. 4 Also asked in: Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 3
Explanation:
Assume the family has X girls and Y boys, according to the question,
we can have 2 equations:
X-1=Y, 2(Y-2)=X.
Solve the equations, we get X=4, Y=3.
- 4. A bird lover was asked how many birds he had in the basket. He replied that there were all parrots but six, all pigeons but six, and all koel but six. How many birds he had in the basket in all ?
Options- A. 8
- B. 18
- C. 9
- D. 10 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk
Correct Answer: 9
Explanation:
There were all parrots but six means that six birds were not parrots but only pigeons and koels.
Similarly, number of parrots + number of koels = 6 and number of parrots + number of pigeons = 6.
This is possible when there are 3 parrots, 3 pigeons and 3 koels i.e. 9 birds in all.
- 5. It takes five minutes to pass a rumour from one person to two other persons. The tree of rumour continues. Find how many minutes does it take spread the rumour to 729 persons ?
Options- A. 45 min
- B. 25 min
- C. 30 min
- D. 36 min Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 30 min
Explanation:
After 5 mins ..... 3 persons will get rumour
After 10 mins .... 3x2 + 3 = 9 =
persons will get
after 15 =5x3 min ......9x2 + 9 =27 =
persons will get news.
.
.
after 5x6 mins ...
= 729 persons will get news.
Therefore, time taken to spread the rumour to 729 persons is 30 minutes.
- 6. If two is subtracted from each odd digit and three is added to each even digit in the number 94257636, how many digits will appear twice in the new number thus formed ?
Options- A. 0
- B. 1
- C. 2
- D. 3 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 3
- 7. How many feet are in a meter?
Options- A. 3.214
- B. 3.28084
- C. 3.2516
- D. 3.21456 Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 3.28084
Explanation:
We know that,
1 meter = 100 cms.
=> 1 meter = 3.28084 feet.
- 8. What is the difference between the local values of 3 in the number 43403 ?
Options- A. 0
- B. 3030
- C. 3003
- D. 2997 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 2997
Explanation:
3000 ? 3 = 2997
- 9. If the LCM and HCF of two numbers are equal, then the numbers must be
Options- A. Prime Numbers
- B. Composite Numbers
- C. Equal
- D. Co- prime Numbers Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Equal
Explanation:
If LCM = HCF then, the two numbers are equal.
- 10. Find the least number by which 175760 be divided to make it a perfect cube.
Options- A. 6
- B. 10
- C. 9
- D. 30 Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 10
Explanation:
175760 =2³ x 2 x 5 x 13³
= 2³ x 2 x 5 x 13³
To make perfect cube, it must be divided by 2 x 5 = 10
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